document.write( "Question 438067: Using a trapezoid, I need to determine the a) area and b) the perimeter of the figure\r
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document.write( "the top side is 4 in., the left and right sides are 3.2 in., and the bottom side is 9 in \n" );
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Algebra.Com's Answer #303025 by Edwin McCravy(20060)  You can put this solution on YOUR website! Using a trapezoid, I need to determine the a) area and b) the perimeter of the figure\r \n" );
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document.write( "the top side is 4 in., the left and right sides are 3.2 in., and the bottom \n" );
document.write( "side is 9 in \n" );
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document.write( "The perimeter is very easy, just add up all the sides of\r\n" );
document.write( "the trapezoid:\r\n" );
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document.write( "Perimeter = left side + top side + right side + bottom side =\r\n" );
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document.write( "Perimeter = 3.2in + 4in + 3.2in + 9in = 19.4in\r\n" );
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document.write( "Draw perpendiculars (in green) from the upper corners to the \r\n" );
document.write( "bottom side, and label their lengths h:\r\n" );
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document.write( "Next we will calculate the three parts of the bottom side\r\n" );
document.write( "which these two green perpendiculars have divided it into.\r\n" );
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document.write( "Since the top side is 4in the middle part of the bottom \r\n" );
document.write( "is 4in also.\r\n" );
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document.write( "The whole bottom side is 9in, so the sum of the left and\r\n" );
document.write( "right parts is 9 - 4 or 5in. and since the left part and\r\n" );
document.write( "the right part are the same length, they are each half\r\n" );
document.write( "of 5 or 2.5in each \r\n" );
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document.write( "Next we calculate the length h by using\r\n" );
document.write( "the Pythagorean theorem:\r\n" );
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document.write( "2.5² + h² = 3.2²\r\n" );
document.write( "6.25 + h² = 10.24\r\n" );
document.write( " h² = 3.99\r\n" );
document.write( " h = 1.997498436 in\r\n" );
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document.write( "The area of the right triangle on the left is\r\n" );
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document.write( "A = ½bh\r\n" );
document.write( "A = ½(2.5)(1.997498436)\r\n" );
document.write( "A = 2.496873044 in²\r\n" );
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document.write( "That's also the area of the right triangle on\r\n" );
document.write( "the right.\r\n" );
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document.write( "The area of the rectangle in the middle is\r\n" );
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document.write( "A = lw\r\n" );
document.write( "A = 4(1.997498436)\r\n" );
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document.write( "So the total area of the trapezoid:\r\n" );
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document.write( "Area of triangle on the left = 2.496873044 in²\r\n" );
document.write( "Area of middle rectangle = 7.989993742 in²\r\n" );
document.write( "Area of triangle on the right = 2.496873044 in²\r\n" );
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document.write( "Total area of trapezoid = 12.983739830 in²\r\n" );
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document.write( "Edwin \n" );
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